I do (and have done) a lot of photography in remote forested regions, so some of what I have to say will be valid.
Yes, light levels can be painfully dim at times. So be prepared for longer exposures. If you have a compact mini-tripod, monopod, etc. it can help a lot. If you want ultra-compact, make a "strap bipod", a 12 ft. length of 1" wide nylon webbing with a 1/4-20 short bolt in the center of its length. Screw bolt into camera's tripod socket, step on each end of the strap with your feet, pull UP on the camera. Instant tripod (if you consider your body the other leg of the tripod).
Practice-up now on your hand-held photo skills. Chasing little bugs in dim forest light while trying to keep them in focus with a wide-aperture and slow shutter is a challenge in itself.
I've not had the opportunity to do photography in any large coniferous forests yet, so I don't know how much this will apply, but in dense deciduous forests color-balance is a large concern of mine. The auto modes in the camera are continually going to try to compensate for the pervasive green cast in all photos. In the forests I've been in, that leafy canopy above is a HUGE green filter, casting it's effect on everything. If I know it's a sunny day out, or cloudy, I will chose those color presets over automatic ones. I don't want no auto-anything to wipe out those rich colors. Your photos may be richly green, but the colors will be authentic, retaining that natural ambiance -- that most want to destroy, making their forest photos look fake and staged. Just because your gray-card for white-balance is green now, doesn't mean you should adjust it to look gray again. I *might* tone down the green cast in post-processing a little, but it's best if it's there to begin with, so it accurately conveys the location and subjects.
See what appeals to you more, but try to not rely on that auto white-balance. It's like trying to take a picture of a sunset with auto white-balance. It wipes out all the rich hues of golds and reds. A mistake that so many make with their new "auto everything" cameras. Then they wonder why their photo didn't look as spectacular as what they saw. (put you camera into a daylight white-balance to capture the rich colors of the sunset)
There's a few tips, I'll try to think of more. Or if you have more specific questions.